As much as i want to say that you're right herp; however, in the case of someone cheating you do need to record a .dem/video file of proof before reporting it since without said proof we kind of just scoff it as nothing.
But yes overall this is correct, considering from my current experience as a Admin in Skial, you don't exactly have to be on a server to handle such stuff unless it's a dire report such as voice spam, cheating/aimbot, and or micspam that wasn't provided with any evidence via the reporter bot in which we do have to come into the server and deal with it ourselves since chances are the people in the server 50/50 try to post any evidence and just assume we'll handle the report with no proof, also you have to be familiar with how every skial server handles besides the 1 you want to play in often since Admin is not just for the 1 server you're in, it's for all the servers which yes we can't be everywhere considering we do have lives outside of TF2.
I'm a huge regular of both VSH US and EU and i'm pretty sure i haven't seen you in either one as of yet so i'll keep my rating as neutral till further notice.
I haven't seen any of these report types from the ZE server in the reports section in a while if this is the case.